Opposed-flow flame spread in microgravity-theoretical prediction of spread rate and flammability map

Bhattacharjee, Subrata; Ayala, Richard; Wakai, Kazunori; Takahashi, Shuhei

doi:10.1016/j.proci.2004.08.020

Cited by 54 publications

(24 citation statements)

References 16 publications

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“…(1) produced results that reasonably agree with experimental data and combustion simulations [8]. However, Bhattacharjee et al [9] have recently shown that Eq. (1) (excluding the π/4 term) may follow from a simplified theory based on an energy balance applied to a control volume of the solid phase only.…”

Section: Introductionsupporting

confidence: 61%

“…This effect has been included in complex numerical simulations (e.g., [17]) while being ignored when deriving Eq. (1) from a simple control volume analysis [9]. Here, Eq.…”

Section: Results and Comparison To Experimentsmentioning

confidence: 99%

“…Recently, Ref. [9] has shown that Eq. (1) may essentially follow from a qualitative analysis by using a simple control volume approach for the solid phase.…”

Section: Discussionmentioning

confidence: 99%

“…Indeed, this procedure is the opposite to that carried out in Ref. [9] for obtaining Eq. (1) since Bhatacharjee et al used a simplified description of the gas phase as a boundary condition for the control volume of the solid phase.…”

Section: Combustion Modelmentioning

confidence: 92%

“…This approach for the gas phase is similar to the control volume analysis developed in Ref. [9] for the solid phase that finally led to Eq. dependences (21) and (22) reasonably follow those extracted from the contour plots shown in Refs.…”

Section: Combustion Modelmentioning

confidence: 93%

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Analytical expressions for the flame front speed in the downward combustion of thin solid fuels and comparison to experiments

Pujol

Comas

2011

Phys. Rev. E

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We derive analytical expressions for the propagation speed of downward combustion fronts of thin solid fuels with a background flow initially at rest. The classical combustion model for thin solid fuels that consists of five coupled reaction-convection-diffusion equations is here reduced into a single equation with the gas temperature as the single variable. For doing so we apply a two-zone combustion model that divides the system into a preheating region and a pyrolyzing region. The speed of the combustion front is obtained after matching the temperature and its derivative at the location that separates both regions. We also derive a simplified version of this analytical expression expected to be valid for a wide range of cases. Flame front velocities predicted by our analytical expressions agree well with experimental data found in the literature for a large variety of cases and substantially improve the results obtained from a previous well-known analytical expression.

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Section: Introductionsupporting

confidence: 61%

“…This effect has been included in complex numerical simulations (e.g., [17]) while being ignored when deriving Eq. (1) from a simple control volume analysis [9]. Here, Eq.…”

Section: Results and Comparison To Experimentsmentioning

confidence: 99%

“…Recently, Ref. [9] has shown that Eq. (1) may essentially follow from a qualitative analysis by using a simple control volume approach for the solid phase.…”

Section: Discussionmentioning

confidence: 99%

Section: Combustion Modelmentioning

confidence: 92%

Section: Combustion Modelmentioning

confidence: 93%

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